Podcast
Questions and Answers
Graph the inequality 2x+3y ≤ 6.
Graph the inequality 2x+3y ≤ 6.
The graph is a solid line passing through the points (3,0) and (0,2), shading the area below the line.
Graph the inequality 10x - 5y > 0
Graph the inequality 10x - 5y > 0
The graph is a dashed line passing through the points (0,0) and (1,2), shading the area above the line.
Write an inequality given the graph.
Write an inequality given the graph.
The inequality is y > 2x + 1
Solve by graphing: x² - 2x - 3 ≤ 0.
Solve by graphing: x² - 2x - 3 ≤ 0.
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Solve using intervals: x² - x + 12 ≤ 0.
Solve using intervals: x² - x + 12 ≤ 0.
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Suppose θ is an angle in standard position with terminal arm in quadrant III, and cosθ = -3/4. What is the exact value of sinθ?
Suppose θ is an angle in standard position with terminal arm in quadrant III, and cosθ = -3/4. What is the exact value of sinθ?
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Solve for θ, given that cosθ = 0, given that θ is 0 ≤ θ ≤ 360°.
Solve for θ, given that cosθ = 0, given that θ is 0 ≤ θ ≤ 360°.
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Study Notes
PC 11 Feedback
- Graph: 2x + 3y ≤ 6
- Example: p.466
Inequality given the graph
- y > 2x + 1
- Example: p.469
Solving by graphing
- x² - 2x - 3 ≤ 0
- Example: p.478
Solving using intervals
- -x² - x + 12 ≤ 0
- Example: p.480
Angle in standard position
- Suppose θ is an angle in standard position with terminal arm in quadrant III, and cos θ = -3/4. What is the exact value of sin θ?
- Example: p.92
Solve for θ
- Solve for θ, given that cos θ = 0
- Example: p.95
- θ = 132.5°, 227.5°
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Description
This quiz covers key concepts from Algebra Class 11, focusing on graphing inequalities, solving inequalities using intervals, and understanding angles in standard position. Students will apply their knowledge to solve various problem examples rooted in the material.
